On the middle school football team, 20 out of 32 players are eighth graders. What are two equivalent fractions for the fraction of the football team that are eighth graders?
A. ten-sixteenths,Four-eighths
B. sixteen-tenths,start fraction 8 over 5 end fraction
C. ten-sixteenths,start fraction 5 over 8 end fraction
D. ten-sixteenths, four-fifths
20/32 = 10/16 = 5/8
To find two equivalent fractions for the fraction of the football team that are eighth graders, we need to simplify the fraction 20/32.
First, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4.
20 ÷ 4 = 5
32 ÷ 4 = 8
So, the simplified fraction is 5/8.
Now, we can find two equivalent fractions for 5/8.
One equivalent fraction is 10/16, which can be obtained by multiplying both the numerator and denominator of 5/8 by 2.
The other equivalent fraction is 4/5, which can be obtained by multiplying both the numerator and denominator of 5/8 by 1/2.
So, the two equivalent fractions for the fraction of the football team that are eighth graders are:
A. ten-sixteenths, four-eighths
and
D. ten-sixteenths, four-fifths
To find two equivalent fractions for the fraction of the football team that are eighth graders, we need to keep the ratio between the numerator and denominator the same.
The given fraction is 20 out of 32 players, which can be written as 20/32.
To find an equivalent fraction, we can multiply or divide both the numerator and denominator by the same number. In this case, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
Dividing 20 by 4 we get 5, and dividing 32 by 4 we get 8. So, the simplified fraction is 5/8.
Now that we have the simplified fraction, let's find two equivalent fractions:
One equivalent fraction can be obtained by multiplying the numerator and denominator by the same number. For example, we can multiply 5 and 8 by 2, which gives us 10/16.
Another equivalent fraction can be obtained by reversing the numerator and denominator. So, the second equivalent fraction is 8/5.
Therefore, the two equivalent fractions for the fraction of the football team that are eighth graders are:
A. Ten-sixteenths (10/16), Four-eighths (4/8)